The capillary bed approach used in this paper is based on resistor-capacitor models used in some existing models as capillary beds or windkessel boundary conditions. We have taken particular inspiration from the works of Mynard et al. [1]}, [2]}. In our approach we firstly determine the flow weighted velocity, \(v_D\)  on the arterial and venous sides of a capillary bed
\(v_D = \sum _j\frac{A_jv_j^2}{A_jv_j}.\) 
